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## Schumaker, Larry L.

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 Author ID: schumaker.larry-l Published as: Schumaker, L.; Schumaker, L. L; Schumaker, L. L.; Schumaker, Larry; Schumaker, Larry L; Schumaker, Larry L.
 Documents Indexed: 227 Publications since 1967, including 48 Books Biographic References: 4 Publications
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#### Co-Authors

 40 single-authored 24 Lyche, Tom 21 Alfeld, Peter 17 Chui, Charles Kam-tai 12 Nürnberger, Günther 11 Neamtu, Marian 10 Lai, Mingjun 8 Jerome, Joseph W. 8 Zeilfelder, Frank 7 Le Méhauté, Alain J. Y. 6 Davydov, Oleg V. 6 Sorokina, Tatyana 5 Cohen, Albert 5 Fasshauer, Gregory E. 5 Mazure, Marie-Laurence 5 Sommer, Manfred 5 Strauss, Hans 4 Dæhlen, Morten 4 Laurent, Pierre-Jean 4 Mangasarian, Olvi L. 4 Mørken, Knut M. 4 Munteanu, Marie-Jeanne 4 von Golitschek, Manfred 4 Wang, Lujun 4 Ward, Joseph Dinneen 3 Baszenski, Günter 3 Cohen, Elaine 3 Floater, Michael S. 3 Merrien, Jean-Louis 3 Piper, Bruce 3 Quak, Ewald G. 3 Rabut, Christophe 3 Rayevskaya, Vera 3 Speleers, Hendrik 3 Utreras, Florencio I. 2 Blatter, Jörg 2 Boissonnat, Jean-Daniel 2 Chenin, Patrick 2 Fawzy, Tharwat 2 Gout, Christian 2 Hämmerlin, Günther 2 Hecklin, Gero 2 Hong, Dug Hun 2 Karlin, Samuel 2 Lorentz, Georg Gunther 2 Stanley, Sonya S. 2 Stöckler, Joachim 2 Taylor, Gerald D. 2 Traversoni, Leonardo 2 Wang, Renhong 1 Ainsworth, Mark 1 Alimov, Alexey R. 1 Baumeister, Johann 1 Berdysheva, Elena E. 1 Braess, Dietrich 1 Butzer, Paul Leo 1 Cheney, Elliott Ward jun. 1 Copley, P. 1 Dahmen, Wolfgang A. 1 Daniel, James W. 1 de Boor, Carl 1 Deutsch, Frank 1 DeVore, Ron 1 Eidson, Harold D. 1 Eyre, David J. 1 Filbir, Frank-Dieter 1 FitzGerald, Carl H. 1 Fitzpatrick, J. Michael 1 Franke, Richard 1 Gibaru, Olivier 1 Han, Lu 1 Hu, Chiu Li 1 Hu, Chui Li 1 Ibrahim, Adel Kh. 1 Jetter, Kurt 1 Koch, Per Erik 1 Li, Shiying 1 Liu, Xiaoyu 1 Loeb, Henry L. 1 Mhaskar, Hrushikesh N. 1 Moursund, David G. 1 Nevai, Paul G. 1 Pottmann, Helmut 1 Reddien, George W. jun. 1 Sablonnière, Paul 1 Sauer, Tomas 1 Schenck, Hal 1 Scherer, Karl 1 Sepehrnoori, Kamy 1 Sirvent, Maritza 1 Traas, Cornelis 1 Volk, Wolfgang 1 Webb, Glenn Francis 1 Whiteley, Walter John 1 Worsey, Andrew J. 1 Xu, Yuan 1 Ziegler, Zvi 1 zu Castell, Wolfgang
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#### Serials

 25 Journal of Approximation Theory 17 SIAM Journal on Numerical Analysis 16 Computer Aided Geometric Design 11 Numerische Mathematik 10 Advances in Computational Mathematics 9 Constructive Approximation 5 Journal of Computational and Applied Mathematics 5 Lecture Notes in Computer Science 4 Journal d’Analyse Mathématique 4 Mathematics of Computation 4 SIAM Journal on Mathematical Analysis 3 Springer Proceedings in Mathematics & Statistics 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Scientific and Statistical Computing 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Rocky Mountain Journal of Mathematics 1 Computing 1 Indiana University Mathematics Journal 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Delft Progress Report 1 Advances in Engineering Software 1 ACM Transactions on Graphics 1 Approximation Theory and its Applications 1 Journal of Scientific Computing 1 Numerical Algorithms 1 SIAM Journal on Scientific Computing 1 Mathematical Engineering in Industry 1 Serdica Mathematical Journal 1 Oberwolfach Reports 1 Journal of Mathematics and Mechanics 1 SIAM Journal on Control 1 Encyclopedia of Mathematics and Its Applications 1 ISNM. International Series of Numerical Mathematics 1 Springer Proceedings in Mathematics 1 Other Titles in Applied Mathematics 1 Cambridge Mathematical Library
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#### Fields

 164 Approximations and expansions (41-XX) 115 Numerical analysis (65-XX) 44 General and overarching topics; collections (00-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Computer science (68-XX) 3 Functional analysis (46-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH

179 Publications have been cited 3,354 times in 2,189 Documents Cited by Year
Spline functions: basic theory. Zbl 0449.41004
Schumaker, Larry L.
1981
Spline functions: basic theory. Zbl 1123.41008
Schumaker, Larry L.
2007
Spline functions on triangulations. Zbl 1185.41001
Lai, Ming-Jun; Schumaker, Larry L.
2007
Local spline approximation methods. Zbl 0315.41011
Lyche, Tom; Schumaker, Larry L.
1975
On shape preserving quadratic spline interpolation. Zbl 0521.65009
Schumaker, Larry L.
1983
Uniform approximation by Tchebycheffian spline functions. Zbl 0165.38603
Schumaker, L. L.
1968
The dimension of bivariate spline spaces of smoothness r for degree $$d\geq 4r+1$$. Zbl 0646.41008
Alfeld, Peter; Schumaker, L. L.
1987
Bounds on the dimension of spaces of multivariate piecewise polynomials. Zbl 0601.41034
Schumaker, Larry L.
1984
Fitting surfaces to scattered data. Zbl 0343.41003
Schumaker, Larry L.
1976
Fitting scattered data on sphere-like surfaces using spherical splines. Zbl 0863.65002
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
1996
An explicit basis for $$C^ 1$$ quartic bivariate splines. Zbl 0658.65008
Alfeld, Peter; Piper, Bruce; Schumaker, L. L.
1987
Scattered data fitting on the sphere. Zbl 0904.65015
Fasshauer, Gregory E.; Schumaker, Larry L.
1998
On Lg-splines. Zbl 0172.34501
Jerome, J. W.; Schumaker, L. L.
1969
On the approximation power of bivariate splines. Zbl 0924.41010
Lai, Ming-Jun; Schumaker, Larry L.
1998
Macro-elements and stable local bases for splines on Powell-Sabin triangulations. Zbl 1009.41007
Lai, Ming-Jun; Schumaker, Larry L.
2003
Control curves and knot intersection for trigonometric splines. Zbl 0925.65251
Koch, Per Erik; Lyche, Tom; Neamtu, Marian; Schumaker, Larry L.
1995
The fundamental theorem of algebra for Tchebycheffian monosplines. Zbl 0187.02002
Karlin, S.; Schumaker, L.
1967
Uniform approximation by Chebyshev spline functions. II: Free knots. Zbl 0169.39404
Schumaker, L.
1969
Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Zbl 0875.68863
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
1996
On the dimension of bivariate spline spaces of smoothness r and degree $$d=3r+1$$. Zbl 0725.41012
Alfeld, Peter; Schumaker, Larry L.
1990
On a collocation method for singular two point boundary value problems. Zbl 0372.65033
Reddien, G. W.; Schumaker, L. L.
1976
Smooth macro-elements based on Powell–Sabin triangle splits. Zbl 0993.65124
Alfeld, Peter; Schumaker, Larry L.
2002
On super splines and finite elements. Zbl 0679.41008
Schumaker, Larry L.
1989
Discrete splines via mathematical programming. Zbl 0223.65004
Mangasarian, O. L.; Schumaker, L. L.
1971
Spline functions. Computational methods. Zbl 1333.65018
Schumaker, Larry L.
2015
Efficient evaluation of multivariate polynomials. Zbl 0606.65007
Schumaker, Larry L.; Volk, Wolfgang
1986
On hyperbolic splines. Zbl 0512.41008
Schumaker, Larry L.
1983
Macro-elements and stable local bases for splines on Clough-Tocher triangulations. Zbl 0989.65013
Lai, Ming-Jun; Schumaker, Larry L.
2001
Algorithms for degree-raising of splines. Zbl 0591.65012
Cohen, Elaine; Lyche, Tom; Schumaker, Larry L.
1985
Super spline spaces of smoothness $$r$$ and degree $$d\geq{} 3r+2$$. Zbl 0739.41011
Ibrahim, Adel Kh.; Schumaker, Larry L.
1991
Uniform generalized weight function polynomial approximation with interpolation. Zbl 0203.48102
Loeb, H. L.; Moursund, D. G.; Schumaker, L. L.; Taylor, G. D.
1969
Approximation power of polynomial splines on $$T$$-meshes. Zbl 1254.65022
Schumaker, Larry L.; Wang, Lujun
2012
Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines. Zbl 0744.65008
Schumaker, Larry L.; Traas, Cornelis
1991
Rates of convergence of control polygons. Zbl 0597.65003
Cohen, Elaine; Schumaker, Larry L.
1985
On Tschebycheffian spline functions. Zbl 0339.41004
Schumaker, Larry L.
1976
Constructive aspects of discrete polynomial spline functions. Zbl 0322.41009
Schumaker, Larry L.
1973
Smooth macro-elements based on Clough-Tocher triangle splits. Zbl 0998.65016
Alfeld, Peter; Schumaker, Larry L.
2002
Quasi-interpolants based on trigonometric splines. Zbl 0912.41008
Lyche, Tom; Schumaker, Larry L.; Stanley, Sonya
1998
Data fitting by penalized least squares. Zbl 0749.41004
von Golitschek, M.; Schumaker, L. L.
1990
Dual bases for spline spaces on cells. Zbl 0652.41012
Schumaker, Larry L.
1988
Minimally supported bases for spaces of bivariate piecewise polynomials of smoothness r and degree $$d\geq 4r+1$$. Zbl 0668.41011
Alfeld, Peter; Piper, Bruce; Schumaker, L. L.
1987
Best summation formulae and discrete splines. Zbl 0256.65003
Mangasarian, O. L.; Schumaker, L. L.
1973
Computation of smoothing and interpolating natural splines via local bases. Zbl 0239.65015
Lyche, Tom; Schumaker, Larry L.
1973
On the approximation order of splines on spherical triangulations. Zbl 1043.41007
Neamtu, Marian; Schumaker, Larry L.
2004
Fitting monotone surfaces to a scattered data using $$C^ 1$$ piecewise cubics. Zbl 0881.41010
Han, Lu; Schumaker, Larry L.
1997
Circular Bernstein-Bézier polynomials. Zbl 0835.30001
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
1995
On the approximation power of splines on triangulated quadrangulations. Zbl 0921.41006
Lai, Ming-Jun; Schumaker, Larry L.
1998
Minimal energy surfaces using parametric splines. Zbl 0873.65008
Fasshauer, Gregory E.; Schumaker, Larry L.
1996
Dimension and local bases of homogeneous spline spaces. Zbl 0854.41030
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
1996
Cubic spline fitting using data dependent triangulations. Zbl 0725.65014
Quak, Ewald; Schumaker, Larry L.
1990
On recursions for generalized splines. Zbl 0529.41011
Schumaker, Larry L.
1982
The generic dimension of the space of $$C^ 1$$ splines of degree $$d\geq 8$$ on tetrahedral decompositions. Zbl 0774.41012
Alfeld, Peter; Schumaker, Larry L.; Whiteley, Walter
1993
On dimension and existence of local bases for multivariate spline spaces. Zbl 0761.41007
Alfeld, Peter; Schumaker, Larry L.; Sirvent, Maritza
1992
Triangulation methods. Zbl 0632.65120
Schumaker, Larry L.
1987
Saturation of positive operators. Zbl 0233.41007
Lorentz, G. G.; Schumaker, L. L.
1972
A differential equation approach to interpolation at extremal points. Zbl 0188.13003
Fitzgerald, C. H.; Schumaker, L. L.
1969
On approximation by polynomials having restricted ranges. II. Zbl 0175.16002
Schumaker, L. L.; Taylor, G. D.
1969
Computing bivariate splines in scattered data fitting and the finite-element method. Zbl 1146.65019
Schumaker, Larry L.
2008
Error bounds for minimal energy bivariate polynomial splines. Zbl 1012.41011
von Golitschek, Manfred; Lai, Ming-Jun; Schumaker, Larry L.
2002
Degree raising for splines. Zbl 0621.41009
Cohen, Elaine; Lyche, Tom; Schumaker, Larry L.
1986
Approximation by generalized splines. Zbl 0646.41004
Nürnberger, G.; Schumaker, L. L.; Sommer, M.; Strauss, H.
1985
Procedures for kernel approximation and solution of Fredholm integral equations of the second kind. Zbl 0424.65065
Hämmerlin, Günther; Schumaker, Larry L.
1980
On the dimension of spaces of piecewise polynomials in two variables. Zbl 0461.41006
Schumaker, Larry L.
1979
Splines via optimal control. Zbl 0268.49026
Mangasarian, O. L.; Schumaker, L. L.
1969
Characterizations of functions with higher order derivatives in $$L_{p}$$. Zbl 0187.37703
Jerome, J. W.; Schumaker, L. L.
1969
Lagrange interpolation by $$C^1$$ cubic splines on triangulated quadrangulations. Zbl 1053.41014
Nürnberger, Günther; Schumaker, Larry L.; Zeilfelder, Frank
2004
$$L$$-spline wavelets. Zbl 0857.42022
Lyche, Tom; Schumaker, Larry L.
1994
Generalized Chebyshevian splines. Zbl 0571.41007
Nürnberger, G.; Schumaker, L. L.; Sommer, M.; Strauss, H.
1984
Zeros of spline functions and applications. Zbl 0339.41003
Schumaker, Larry L.
1976
Some algorithms for the computation of interpolating and approximating spline functions. Zbl 0188.22301
Schumaker, L. L.
1969
Nonnegativity preserving macro-element interpolation of scattered data. Zbl 1211.65017
Schumaker, Larry L.; Speleers, Hendrik
2010
Smooth macro-elements on Powell-Sabin-12 splits. Zbl 1094.65012
Schumaker, Larry L.; Sorokina, Tatyana
2006
Local Lagrange interpolation with bivariate splines of arbitrary smoothness. Zbl 1088.41010
Nürnberger, Günther; Rayevskaya, Vera; Schumaker, Larry L.; Zeilfelder, Frank
2006
Local Lagrange interpolation with $$C^2$$ splines of degree seven on triangulations. Zbl 1057.41005
Nürnberger, Günther; Rayevskaya, Vera; Schumaker, Larry L.; Zeilfelder, Frank
2004
Bounds on projections onto bivariate polynomial spline spaces with stable local bases. Zbl 0996.41008
von Golitschek, Manfred; Schumaker, Larry L.
2002
A multiresolution tensor spline method for fitting functions on the sphere. Zbl 0971.42027
Lyche, Tom; Schumaker, Larry L.
2000
Scattered data interpolation using $$C^ 2$$ supersplines of degree six. Zbl 0872.41004
Lai, Ming-Jun; Schumaker, Larry L.
1997
Computing optimal triangulations using simulated annealing. Zbl 0780.65088
Schumaker, Larry L.
1993
Bernstein-Bézier finite elements on tetrahedral-hexahedral-pyramidal partitions. Zbl 1425.65139
Ainsworth, Mark; Davydov, Oleg; Schumaker, Larry L.
2016
Spline spaces on TR-meshes with hanging vertices. Zbl 1225.41003
Schumaker, Larry L.; Wang, Lujun
2011
A $$C^1$$ quadratic trivariate macro-element space defined over arbitrary tetrahedral partitions. Zbl 1176.41007
Schumaker, Larry L.; Sorokina, Tatyana; Worsey, Andrew J.
2009
Surface compression using a space of $$C^1$$ cubic splines with a hierarchical basis. Zbl 1067.41005
Hong, D.; Schumaker, L. L
2004
$$C^1$$ quintic splines on type-4 tetrahedral partitions. Zbl 1053.41015
Schumaker, Larry L.; Sorokina, Tatyana
2004
On spaces of piecewise polynomials with boundary conditions. III. Type-2 triangulations. Zbl 0598.41014
Chui, C. K.; Schumaker, L. L.; Wang, R. H.
1983
Interpolation by generalized splines. Zbl 0528.41006
Nürnberger, Günther; Schumaker, L. L.; Sommer, Manfred; Strauss, H.
1983
The set of continuous selections of a metric projection in C(X). Zbl 0493.41030
Blatter, Joerg; Schumaker, Larry
1982
Local support bases for a class of spline functions. Zbl 0342.41008
Jerome, J. W.; Schumaker, L. L.
1976
On calculating with B-splines. II: Integration. Zbl 0338.65002
de Boor, Carl; Lyche, Tom; Schumaker, Larry L.
1976
A trivariate box macroelement. Zbl 1077.41009
Schumaker, Larry L.; Sorokina, Tatyana
2005
Total positivity properties of LB-splines. Zbl 1067.41502
Lyche, Tom; Schumaker, Larry L.
1996
Hybrid Bézier patches on sphere-like surfaces. Zbl 0859.65007
Liu, Xiaoyu; Schumaker, Larry L.
1996
Calculation of the energy of a piecewise polynomial surface. Zbl 0746.41012
Quak, E.; Schumaker, L. L.
1990
On spaces of piecewise polynomials with boundary conditions. II. Type-1 triangulations. Zbl 0598.41013
Chui, C. K.; Schumaker, L. L.; Wang, R. H.
1983
Continuous selections and maximal alternators for spline approximation. Zbl 0582.41013
Blatter, Jörg; Schumaker, Larry
1983
Splines on triangulations with hanging vertices. Zbl 1262.41008
Schumaker, Larry L.; Wang, Lujun
2012
Local Lagrange interpolation by bivariate $$C^1$$ cubic splines. Zbl 0989.65011
Nürnberger, Günther; Schumaker, Larry L.; Zeilfelder, Frank
2001
Approximation by splines. Zbl 0187.32802
Schumaker, L. L.
1969
A domain decomposition method for computing bivariate spline fits of scattered data. Zbl 1193.41007
Lai, Ming-Jun; Schumaker, Larry L.
2009
A $$C^2$$ trivariate macroelement based on the Worsey–Farin split of a tetrahedron. Zbl 1097.65031
Alfeld, Peter; Schumaker, Larry L.
2005
On stable local bases for bivariate polynomial spline spaces. Zbl 0988.41005
Davydov, Oleg; Schumaker, Larry L.
2002
Adaptive computation with splines on triangulations with hanging vertices. Zbl 1385.65019
Li, Shiying; Schumaker, Larry L.
2017
Bernstein-Bézier finite elements on tetrahedral-hexahedral-pyramidal partitions. Zbl 1425.65139
Ainsworth, Mark; Davydov, Oleg; Schumaker, Larry L.
2016
Spline functions. Computational methods. Zbl 1333.65018
Schumaker, Larry L.
2015
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan
2015
Convexity preserving $$C^0$$ splines. Zbl 1298.41014
Schumaker, Larry L.; Speleers, Hendrik
2014
On Hermite interpolation with polynomial splines on T-meshes. Zbl 1259.41016
Schumaker, Larry L.; Wang, Lujun
2013
Splines on spherical triangulations with hanging vertices. Zbl 1268.41006
Schumaker, Larry L.
2013
Approximation power of polynomial splines on $$T$$-meshes. Zbl 1254.65022
Schumaker, Larry L.; Wang, Lujun
2012
Splines on triangulations with hanging vertices. Zbl 1262.41008
Schumaker, Larry L.; Wang, Lujun
2012
Spline spaces on TR-meshes with hanging vertices. Zbl 1225.41003
Schumaker, Larry L.; Wang, Lujun
2011
Convexity preserving splines over triangulations. Zbl 1229.65043
Schumaker, Larry L.; Speleers, Hendrik
2011
Nonnegativity preserving macro-element interpolation of scattered data. Zbl 1211.65017
Schumaker, Larry L.; Speleers, Hendrik
2010
Two condensed macro-elements with full approximation power. Zbl 1190.41003
Alfeld, Peter; Schumaker, Larry L.; Sorokina, Tatyana
2010
A $$C^1$$ quadratic trivariate macro-element space defined over arbitrary tetrahedral partitions. Zbl 1176.41007
Schumaker, Larry L.; Sorokina, Tatyana; Worsey, Andrew J.
2009
A domain decomposition method for computing bivariate spline fits of scattered data. Zbl 1193.41007
Lai, Ming-Jun; Schumaker, Larry L.
2009
Local Lagrange interpolation with cubic $$C^{1}$$ splines on tetrahedral partitions. Zbl 1208.41005
Hecklin, Gero; Nürnberger, Günther; Schumaker, Larry L.; Zeilfelder, Frank
2009
Computing bivariate splines in scattered data fitting and the finite-element method. Zbl 1146.65019
Schumaker, Larry L.
2008
Bounds on the dimensions of trivariate spline spaces. Zbl 1159.41002
Alfeld, Peter; Schumaker, Larry L.
2008
Interpolation and scattered data fitting on manifolds using projected Powell-Sabin splines. Zbl 1161.65010
Davydov, Oleg; Schumaker, Larry L.
2008
A local Lagrange interpolation method based on $$C^1$$ cubic splines on Freudenthal partitions. Zbl 1132.41311
Hecklin, Gero; Nürnberger, Günther; Schumaker, Larry L.; Zeilfelder, Frank
2008
Spline functions: basic theory. Zbl 1123.41008
Schumaker, Larry L.
2007
Spline functions on triangulations. Zbl 1185.41001
Lai, Ming-Jun; Schumaker, Larry L.
2007
Scattered data fitting on surfaces using projected Powell-Sabin splines. Zbl 1126.65012
Davydov, Oleg; Schumaker, Larry L.
2007
Trivariate $$C^{r}$$ polynomial macroelements. Zbl 1117.41010
Lai, Ming-Jun; Schumaker, Larry L.
2007
Smooth macro-elements on Powell-Sabin-12 splits. Zbl 1094.65012
Schumaker, Larry L.; Sorokina, Tatyana
2006
Local Lagrange interpolation with bivariate splines of arbitrary smoothness. Zbl 1088.41010
Nürnberger, Günther; Rayevskaya, Vera; Schumaker, Larry L.; Zeilfelder, Frank
2006
A trivariate box macroelement. Zbl 1077.41009
Schumaker, Larry L.; Sorokina, Tatyana
2005
A $$C^2$$ trivariate macroelement based on the Worsey–Farin split of a tetrahedron. Zbl 1097.65031
Alfeld, Peter; Schumaker, Larry L.
2005
Multisided macro-element spaces based on Clough-Tocher triangle splits with applications to hole filling. Zbl 1081.65020
Rayevskaya, Vera; Schumaker, Larry L.
2005
A $$C^2$$ trivariate macro-element based on the Clough-Tocher-split of a tetrahedron. Zbl 1084.65016
Alfeld, Peter; Schumaker, Larry L.
2005
A $$C^2$$ trivariate double-Clough-Tocher macro-element. Zbl 1074.65020
Alfeld, Peter; Schumaker, Larry L.
2005
Two Lagrange interpolation methods based on $$C^1$$ splines on tetrahedral partitions. Zbl 1073.41006
Nürnberger, Günther; Schumaker, Larry L.; Zeilfelder, Frank
2005
On the approximation order of splines on spherical triangulations. Zbl 1043.41007
Neamtu, Marian; Schumaker, Larry L.
2004
Lagrange interpolation by $$C^1$$ cubic splines on triangulated quadrangulations. Zbl 1053.41014
Nürnberger, Günther; Schumaker, Larry L.; Zeilfelder, Frank
2004
Local Lagrange interpolation with $$C^2$$ splines of degree seven on triangulations. Zbl 1057.41005
Nürnberger, Günther; Rayevskaya, Vera; Schumaker, Larry L.; Zeilfelder, Frank
2004
Surface compression using a space of $$C^1$$ cubic splines with a hierarchical basis. Zbl 1067.41005
Hong, D.; Schumaker, L. L
2004
$$C^1$$ quintic splines on type-4 tetrahedral partitions. Zbl 1053.41015
Schumaker, Larry L.; Sorokina, Tatyana
2004
Surface compression using a space of $$C^1$$ cubic splines with a hierarchical basis. Zbl 1060.65020
Hong, D.; Schumaker, L. L.
2004
Macro-elements and stable local bases for splines on Powell-Sabin triangulations. Zbl 1009.41007
Lai, Ming-Jun; Schumaker, Larry L.
2003
Upper and lower bounds on the dimension of superspline spaces. Zbl 1012.41012
Alfeld, Peter; Schumaker, Larry L.
2003
Smooth macro-elements based on Powell–Sabin triangle splits. Zbl 0993.65124
Alfeld, Peter; Schumaker, Larry L.
2002
Smooth macro-elements based on Clough-Tocher triangle splits. Zbl 0998.65016
Alfeld, Peter; Schumaker, Larry L.
2002
Error bounds for minimal energy bivariate polynomial splines. Zbl 1012.41011
von Golitschek, Manfred; Lai, Ming-Jun; Schumaker, Larry L.
2002
Bounds on projections onto bivariate polynomial spline spaces with stable local bases. Zbl 0996.41008
von Golitschek, Manfred; Schumaker, Larry L.
2002
On stable local bases for bivariate polynomial spline spaces. Zbl 0988.41005
Davydov, Oleg; Schumaker, Larry L.
2002
Penalized least squares fitting. Zbl 1039.41007
von Golitschek, M.; Schumaker, L. L.
2002
Lai, Ming-Jun; Schumaker, Larry L.
2002
Lagrange interpolation by $$C^{1}$$ cubic splines on triangulations of separable quadrangulations. Zbl 1021.41003
Nürnberger, Günther; Schumaker, Larry L.; Zeilfelder, Frank
2002
Stable approximation and interpolation with $$C^1$$ quartic bivariate splines. Zbl 1010.41004
Davydov, Oleg; Schumaker, Larry L.
2002
Macro-elements and stable local bases for splines on Clough-Tocher triangulations. Zbl 0989.65013
Lai, Ming-Jun; Schumaker, Larry L.
2001
Local Lagrange interpolation by bivariate $$C^1$$ cubic splines. Zbl 0989.65011
Nürnberger, Günther; Schumaker, Larry L.; Zeilfelder, Frank
2001
A multiresolution tensor spline method for fitting functions on the sphere. Zbl 0971.42027
Lyche, Tom; Schumaker, Larry L.
2000
Locally linearly independent bases for bivariate polynomial spline spaces. Zbl 0971.41005
Davydov, Oleg; Schumaker, Larry L.
2000
Nonexistence of star-supported spline bases. Zbl 0957.41006
Alfeld, Peter; Schumaker, Larry L.
2000
Scattered data fitting on the sphere. Zbl 0904.65015
Fasshauer, Gregory E.; Schumaker, Larry L.
1998
On the approximation power of bivariate splines. Zbl 0924.41010
Lai, Ming-Jun; Schumaker, Larry L.
1998
Quasi-interpolants based on trigonometric splines. Zbl 0912.41008
Lyche, Tom; Schumaker, Larry L.; Stanley, Sonya
1998
On the approximation power of splines on triangulated quadrangulations. Zbl 0921.41006
Lai, Ming-Jun; Schumaker, Larry L.
1998
Dual focal splines and rational curves with rational offsets. Zbl 0940.65010
Neamtu, Marian; Pottmann, Helmut; Schumaker, Larry L.
1998
Approximation theory IX. Volume 2. Computational aspects. Proceedings of the 9th international conference, Nashville, TN, USA, January 3–6, 1998. Zbl 0910.00047
Chui, Charles K. (ed.); Schumaker, Larry L. (ed.)
1998
Fitting monotone surfaces to a scattered data using $$C^ 1$$ piecewise cubics. Zbl 0881.41010
Han, Lu; Schumaker, Larry L.
1997
Scattered data interpolation using $$C^ 2$$ supersplines of degree six. Zbl 0872.41004
Lai, Ming-Jun; Schumaker, Larry L.
1997
Surface fitting and multiresolution methods. Vol. 2 of the proceedings of the 3rd international conference on Curves and surfaces, held in Chamonix-Mont-Blanc, France, June 27–July 3, 1996. Zbl 0927.00040
Le Méhauté, Alain (ed.); Rabut, Christophe (ed.); Schumaker, Larry L. (ed.)
1997
Fitting scattered data on sphere-like surfaces using spherical splines. Zbl 0863.65002
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
1996
Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Zbl 0875.68863
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
1996
Minimal energy surfaces using parametric splines. Zbl 0873.65008
Fasshauer, Gregory E.; Schumaker, Larry L.
1996
Dimension and local bases of homogeneous spline spaces. Zbl 0854.41030
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
1996
Total positivity properties of LB-splines. Zbl 1067.41502
Lyche, Tom; Schumaker, Larry L.
1996
Hybrid Bézier patches on sphere-like surfaces. Zbl 0859.65007
Liu, Xiaoyu; Schumaker, Larry L.
1996
Shape-preserving knot removal. Zbl 0900.68413
Schumaker, Larry L.; Stanley, Sonya S.
1996
Multivariate scattered data fitting. Zbl 0925.65024
Le Méhauté, Alain; Schumaker, Larry L.; Traversoni, Leonardo
1996
Control curves and knot intersection for trigonometric splines. Zbl 0925.65251
Koch, Per Erik; Lyche, Tom; Neamtu, Marian; Schumaker, Larry L.
1995
Circular Bernstein-Bézier polynomials. Zbl 0835.30001
Alfeld, Peter; Neamtu, Marian; Schumaker, Larry L.
1995
Approximation theory VIII. Vol. 2. Wavelets and multilevel approximation. Papers from the 8th Texas international conference, College Station, TX, USA, January 8–12, 1995. Zbl 0902.00035
Chui, C. K. (ed.); Schumaker, L. L. (ed.)
1995
Approximation theory VIII. Vol. 1. Approximation and interpolation. Proceedings of the 8th Texas international conference, College Station, TX, USA, January 8–12, 1995. Zbl 0928.00035
Chui, C. K. (ed.); Schumaker, L. L. (ed.)
1995
Mathematical methods for curves and surfaces. Papers from an international conference held June 16-21, 1994 in Ulvik, Norway. Zbl 0827.00050
Dæhlen, Morten (ed.); Lyche, Tom (ed.); Schumaker, Larry L. (ed.)
1995
$$L$$-spline wavelets. Zbl 0857.42022
Lyche, Tom; Schumaker, Larry L.
1994
Applications of multivariate splines. Zbl 0815.65015
Schumaker, Larry L.
1994
Recent advances in wavelet analysis. Zbl 0782.00090
Schumaker, Larry L. (ed.); Webb, Glenn (ed.)
1994
Curves and surfaces in geometric design. Papers from the 2nd international conference on curves and surfaces, held in Chamonix-Mont-Blanc, France, June 10-16, 1993. Zbl 0805.00015
Laurent, Pierre-Jean (ed.); Le Méhauté, Alain (ed.); Schumaker, Larry L. (ed.)
1994
Wavelets, images, and surface fitting. Papers from the 2nd international conference on curves and surfaces, held in Chamonix-Mont-Blanc, France, June 10-16, 1993. Zbl 0805.00017
Laurent, Pierre-Jean (ed.); Le Méhauté, Alain (ed.); Schumaker, Larry L. (ed.)
1994
The generic dimension of the space of $$C^ 1$$ splines of degree $$d\geq 8$$ on tetrahedral decompositions. Zbl 0774.41012
Alfeld, Peter; Schumaker, Larry L.; Whiteley, Walter
1993
Computing optimal triangulations using simulated annealing. Zbl 0780.65088
Schumaker, Larry L.
1993
On 1-1 bivariate transformations. Zbl 0781.41008
Fitzpatrick, J. Michael; Schumaker, Larry L.
1993
On dimension and existence of local bases for multivariate spline spaces. Zbl 0761.41007
Alfeld, Peter; Schumaker, Larry L.; Sirvent, Maritza
1992
Mathematical methods in computer aided geometric design II. International conference on curves, surfaces, CAGD, and image processing, held at Biri, Norway, June 20-25, 1991. Proceedings. Zbl 0752.68005
Lyche, Tom (ed.); Schumaker, Larry L. (ed.)
1992
Super spline spaces of smoothness $$r$$ and degree $$d\geq{} 3r+2$$. Zbl 0739.41011
Ibrahim, Adel Kh.; Schumaker, Larry L.
1991
Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines. Zbl 0744.65008
Schumaker, Larry L.; Traas, Cornelis
1991
Least squares fitting by linear splines on data dependent triangulations. Zbl 0733.41020
Quak, Ewald; Schumaker, L. L.
1991
Use of simulated annealing to construct triangular facet surfaces. Zbl 0735.41017
Baszenski, G.; Schumaker, Larry L.
1991
Curves and surfaces. Papers from the international conference, held June 21-27, 1990, in Chamonix-Mont-Blanc, France. Zbl 0729.00010
Laurent, Pierre-Jean (ed.); Le Méhauté, Alain (ed.); Schumaker, Larry L. (ed.)
1991
On the dimension of bivariate spline spaces of smoothness r and degree $$d=3r+1$$. Zbl 0725.41012
Alfeld, Peter; Schumaker, Larry L.
1990
Data fitting by penalized least squares. Zbl 0749.41004
von Golitschek, M.; Schumaker, L. L.
1990
Cubic spline fitting using data dependent triangulations. Zbl 0725.65014
Quak, Ewald; Schumaker, Larry L.
1990
Calculation of the energy of a piecewise polynomial surface. Zbl 0746.41012
Quak, E.; Schumaker, L. L.
1990
Reconstructing 3D objects from cross-sections. Zbl 0797.68152
Schumaker, Larry L.
1990
On super splines and finite elements. Zbl 0679.41008
Schumaker, Larry L.
1989
Uniform approximation by generalized splines with free knots. Zbl 0697.41005
Nürnberger, G.; Schumaker, L.; Sommer, M.; Strauss, H.
1989
Approximation theory VI. Volume II. Proceedings of the sixth international symposium on approximation theory, held at Texas A & M University, College Station, TX, USA, on January 9-13, 1989. Zbl 0725.00008
Chui, Charles K. (ed.); Schumaker, L. L. (ed.); Ward, J. D. (ed.)
1989
Mathematical methods in computer aided geometric design. (Papers originally presented at an international conference held June 16-22, 1988, at the University of Oslo, Norway). Zbl 0669.00011
Lyche, Tom (ed.); Schumaker, Larry L. (ed.)
1989
...and 79 more Documents
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#### Cited by 2,283 Authors

 64 Schumaker, Larry L. 38 Mazure, Marie-Laurence 36 Speleers, Hendrik 31 Nürnberger, Günther 29 Sbibih, Driss 27 Lai, Mingjun 23 Manni, Carla 22 Lyche, Tom 21 Peña, Juan Manuel 20 Sablonnière, Paul 19 Chui, Charles Kam-tai 19 Sorokina, Tatyana 17 Micchelli, Charles A. 17 Sangalli, Giancarlo 16 Dagnino, Catterina 16 Sommer, Manfred 16 Tijini, Ahmed 15 Barrera, Domingo 15 Ibáñez, María J. 15 Zhu, Zhongyi 14 Buffa, Annalisa 14 Jüttler, Bert 13 Davydov, Oleg V. 13 Han, Xuli 12 Alfeld, Peter 12 Casciola, Giulio 12 Demichelis, Vittoria 12 Hughes, Thomas J. R. 12 Mraoui, Hamid 12 Wang, Renhong 12 Xu, Yuesheng 12 Zeilfelder, Frank 11 Anastassiou, George Angelos 11 Grošelj, Jan 11 Hussain, Malik Zawwar 11 Lamnii, Abdelleh 11 Loeb, Henry L. 11 Nelakanti, Gnaneshwar 11 Zhao, Peixin 10 Bracco, Cesare 10 Dyn, Nira 10 Giannelli, Carlotta 10 Goldman, Ron N. 10 Hu, Tao 10 Huang, Jianhua Z. 10 Lavery, John E. 10 Pasadas, Miguel 10 Remogna, Sara 10 Strauss, Hans 10 Xue, Liugen 9 Barrar, Richard B. 9 Beccari, Carolina Vittoria 9 Carnicer, Jésus Miguel 9 Dierckx, Paul 9 Kadalbajoo, Mohan K. 9 Kounchev, Ognyan Ivanov 9 Lamnii, M. 9 Mühlbach, Günter W. 9 Pelosi, Francesca 9 Render, Hermann 9 Schmidt, Jochen Wilhelm 9 Serghini, Abdelhafid 9 Ward, Joseph Dinneen 9 White, Luther W. 9 Yang, Hu 8 Beirão da Veiga, Lourenço 8 Cho, Durkbin 8 Deng, Jiansong 8 Fortes, Miguel Angel 8 Goodman, Timothy N. T. 8 Lamberti, Paola 8 Neamtu, Marian 8 Qin, Guoyou 8 Santi, Elisabetta 8 Vazquez, Rafael 8 Wong, Patricia J. Y. 7 Bosner, Tina 7 Cramer, Erhard 7 Dahmen, Wolfgang A. 7 Dem’yanovich, Yuriĭ Kazimirovich 7 Duan, Qi 7 Floater, Michael S. 7 Gao, Wenwu 7 Guo, Chaohui 7 Jerome, Joseph W. 7 Jetter, Kurt 7 Kapl, Mario 7 Langer, Ulrich 7 Lin, Lu 7 Lv, Jing 7 Mainar, Esmeralda 7 Mhaskar, Hrushikesh N. 7 Pitolli, Francesca 7 Rogina, Mladen 7 Schenck, Hal 7 Volkov, Yuriĭ Stepanovich 7 Zidna, Ahmed 6 Ainsworth, Mark 6 Boyanov, Borislav Dechev 6 Cohen, Elaine ...and 2,183 more Authors
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#### Cited in 295 Serials

 221 Journal of Computational and Applied Mathematics 218 Journal of Approximation Theory 182 Computer Aided Geometric Design 83 Applied Mathematics and Computation 76 Numerische Mathematik 65 Computer Methods in Applied Mechanics and Engineering 56 Advances in Computational Mathematics 55 Computers & Mathematics with Applications 49 BIT 42 Mathematics of Computation 41 Constructive Approximation 39 Numerical Algorithms 33 Journal of Mathematical Analysis and Applications 29 Applied Numerical Mathematics 28 Journal of Multivariate Analysis 28 Computational Statistics and Data Analysis 26 Computing 25 The Annals of Statistics 24 Journal of Statistical Planning and Inference 22 International Journal of Computer Mathematics 20 Mathematics and Computers in Simulation 20 Statistics & Probability Letters 17 Journal of Nonparametric Statistics 15 Numerical Functional Analysis and Optimization 14 Journal of Computational Physics 14 Journal of Scientific Computing 13 Calcolo 13 Journal of Econometrics 13 Journal of Complexity 12 Mathematical Notes 12 Transactions of the American Mathematical Society 11 Computational Statistics 10 Applicable Analysis 10 Scandinavian Journal of Statistics 10 Proceedings of the American Mathematical Society 10 Mathematical and Computer Modelling 10 Communications in Statistics. Theory and Methods 9 Results in Mathematics 9 Applied Mathematics Letters 9 SIAM Journal on Scientific Computing 9 Applied and Computational Harmonic Analysis 9 The Journal of Fourier Analysis and Applications 9 Journal of the Korean Statistical Society 8 Automatica 8 SIAM Journal on Numerical Analysis 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Linear Algebra and its Applications 8 Journal of Mathematical Sciences (New York) 8 Proceedings of the Steklov Institute of Mathematics 7 Journal of Optimization Theory and Applications 7 Mathematische Zeitschrift 7 Journal of Statistical Computation and Simulation 7 Lifetime Data Analysis 6 Computers and Fluids 6 Metrika 6 Ukrainian Mathematical Journal 6 International Journal for Numerical Methods in Engineering 6 Journal of the American Statistical Association 6 Mathematische Nachrichten 6 Advances in Applied Mathematics 6 RAIRO. Modélisation Mathématique et Analyse Numérique 6 Acta Mathematicae Applicatae Sinica. English Series 6 Applied Mathematical Modelling 6 Journal of Systems Science and Complexity 6 Journal of Applied Mathematics and Computing 5 Mathematical Methods in the Applied Sciences 5 Annals of the Institute of Statistical Mathematics 5 Fuzzy Sets and Systems 5 Test 5 Statistical Papers 5 Bernoulli 5 Abstract and Applied Analysis 5 Electronic Journal of Statistics 5 Science China. Mathematics 5 Axioms 5 SMAI Journal of Computational Mathematics 4 Journal d’Analyse Mathématique 4 Rocky Mountain Journal of Mathematics 4 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 4 Information Sciences 4 Siberian Mathematical Journal 4 Acta Mathematica Hungarica 4 Statistics 4 Numerical Methods for Partial Differential Equations 4 Applied Mathematics. Series B (English Edition) 4 ETNA. Electronic Transactions on Numerical Analysis 4 Acta Mathematica Sinica. English Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mathematical Biosciences 3 Journal of Pure and Applied Algebra 3 Acta Applicandae Mathematicae 3 Science in China. Series A 3 Annals of Operations Research 3 Journal of Mathematical Imaging and Vision 3 Advances in Engineering Software 3 Computational and Applied Mathematics 3 Mathematical Problems in Engineering 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Analysis and Applications (Singapore) 3 International Journal of Wavelets, Multiresolution and Information Processing ...and 195 more Serials
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#### Cited in 53 Fields

 1,313 Numerical analysis (65-XX) 1,045 Approximations and expansions (41-XX) 323 Statistics (62-XX) 110 Partial differential equations (35-XX) 104 Harmonic analysis on Euclidean spaces (42-XX) 100 Computer science (68-XX) 72 Integral equations (45-XX) 64 Ordinary differential equations (34-XX) 44 Operations research, mathematical programming (90-XX) 43 Mechanics of deformable solids (74-XX) 37 Functional analysis (46-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 35 Probability theory and stochastic processes (60-XX) 32 Real functions (26-XX) 32 Information and communication theory, circuits (94-XX) 30 Fluid mechanics (76-XX) 30 Systems theory; control (93-XX) 29 Operator theory (47-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 21 Special functions (33-XX) 18 Convex and discrete geometry (52-XX) 17 Commutative algebra (13-XX) 13 Biology and other natural sciences (92-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Combinatorics (05-XX) 11 Potential theory (31-XX) 9 Integral transforms, operational calculus (44-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Field theory and polynomials (12-XX) 7 Functions of a complex variable (30-XX) 7 Difference and functional equations (39-XX) 7 Geophysics (86-XX) 6 Number theory (11-XX) 6 Differential geometry (53-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Measure and integration (28-XX) 5 Algebraic topology (55-XX) 5 Quantum theory (81-XX) 4 Abstract harmonic analysis (43-XX) 4 Geometry (51-XX) 4 General topology (54-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Sequences, series, summability (40-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Category theory; homological algebra (18-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mechanics of particles and systems (70-XX)